FRACTIONS


Changing an Improper Fraction to a
Mixed Number

Other times it becomes necessary to change an

Improper Fraction to a Mixed Number.

This is also done in three easy steps.





The Improper Fraction

9

5




Step 1:

Divide the numerator by the denominator to find the quotient and the

remainder.


9

5


9   ÷  5  =  1  with a remainder of  4




Step 2:

The whole number of the quotient, in this case 1, becomes

the whole number of the mixed fraction.




Step 3:

The remainder of the quotient, which is 4 in this example,

becomes the new numerator of the mixed fraction.

The denominator stays the same.


9

5
=
1
4

5





The Mixed Number

1
4

5
is the
Mixed Number
for the
Improper Fraction
9

5




If the remainder is 0, then the answer is a whole number.



The Whole Number

2
is the
Whole Number
for the
Improper Fraction
10

5



4
is the
Whole Number
for the
Improper Fraction
4

1



1
is the
Whole Number
for the
Improper Fraction
3

3




RULE

Changing an Improper Fraction to a Mixed Number
Numerator ÷ Denominator = Quotient

Whole Number of Mixed Fraction = Whole Number of Quotient

Numerator of Mixed Fraction = Remainder of Quotient

The Denominator stays the same.

When the Remainder is 0, the answer is a Whole Number.